Students perform a play which takes place in a school where some of the students always lie and the rest always tell the truth. Terry, the protagonist, is trying to find out which students are which, but at the beginning, there is no way of knowing whom to believe.
At first it seems like there is never enough information, but in each case, it is possible for Terry figure out more about the students that might have seemed possible.
If you think there needs to be more information, what else would one or more of the characters have to say to make it all work out?